Write the sum as a product.
sin(x)-sin(4x)

Answers

Answer 1

Step-by-step explanation:

Given

sin(x) - sin(4x)

= 2 cos (( x + 4x)/2) * sin ( ( x - 4x) / 2))

= 2 cos 5x/2 • sin -3x / 2

= - 2 cos 5x/2 • sin 3x/2

Hope it helps :)❤

Answer 2

The sum sin(x) - sin(4x) can be written as a product as 2 sin (5x/2) cos (3x/2).

What are Trigonometric Ratios?

Trigonometric ratios are the ratios which is described for two sides of a right angled triangle.

The main three trigonometric ratios are sine, cosine and tangent functions.

We have the trigonometric formula that,

sin A - sin B = 2 sin ([tex]\frac{A+B}{2}[/tex]) cos ([tex]\frac{A-B}{2}[/tex])

Here the sum is, sin(x) - sin(4x) where A = x and B = 4x.

sin(x) - sin(4x) = 2 sin ((x+4x)/2) cos ((x-4x)/2)

                       = 2 sin (5x/2) cos (-3x/2)

We also have, cos(-x) = cos(x).

So, sin(x) - sin(4x) = 2 sin (5x/2) cos (3x/2)

Hence the product form is sin(x) - sin(4x) = 2 sin (5x/2) cos (3x/2).

Learn more about Trigonometric Formulas here :

https://brainly.com/question/30661967

#SPJ2


Related Questions


What is the area of the triangle below (in square units)?
10 mm
90mm

Answers

Answer:

450

Step-by-step explanation:

Answer:

450 square units, the formula is bxh divided by 2

Step-by-step explanation:

Gianna's family reserved a campsite for 5 nights for a family vacation. They paid $115 total for the reservation. Let c be the cost of the reservation per night. Write and solve an equation to find c.​

Answers

Answer:

23$

Step-by-step explanation:

they slept there 5 nights, and paid 115 all together so you divide 115 by 5 to get the total cost for just one night, which is 23 dollars

What does q equal?Please help me.

Answers

11/8 > q is the answer

4x+15=75 in a number line

Answers

Answer:

x= 15

Step-by-step explanation:

4x+15=75

4x = 60

x = 15

-40, -47, -54, -61, ...
Find a 29

Answers

Answer:

Step-by-step explanation:

It is an arithmetic sequence with common difference d = -7

a₂₉ = a₄ + (29-4)d = -61 + 25(-7) = -236

Please help :) i will give brainliest for correct

Answers

ANSWER - Number Five - Yep
Number Six - NO!!!!!!!!

Ashlee is placing a rug in the middle of her bedroom. The length of the rug is two feet more than the width.

What is the area of the bedroom?

Answers

Answer:

A=16

Step-by-step explanation:

formula is 2l+2w=A

Simplify: Square root of -16

Answers

4    

4*4 = [tex]\sqrt{x}[/tex]16                        not sure how it gets negative

please helpp solve!!

Answers

If Angle M is y then,

Step-by-step explanation:

(6y) + (3y -6) + y = 180°

10y - 6 = 180

10y = 186

y= 18.6

Angle O = 3(18.6) - 6 = 49.8

Answer 49.8

I hope this helps!!!

Write the function that represents the sequence in the table

Answers

Answer:

n= 5x each time

Step-by-step explanation:

=

(06.01)A class has 14 girls and 12 boys. What is the probability that a girl's name is drawn at random?
14 over 12
14 over 26
12 over 14
12 over 26

Answers

Answer:

B 14 over 26.

cause it's girls out of everyone

Step-by-step explanation:

Answer:

14 over 26

Step-by-step explanation:

i got it right on flvs

Someone help and plz make sure the answer is right?

Answers

Answer:

B. -2

Step-by-step explanation:

The complete degree of a triangle is 180 so to solve this we would need to solve: 60+70+x+52=180.

60+70=130

130+52=182

182+-2=180

Plzzz helpppp itssss urgentt!!!!!!!!

Answers

Answer:

4) 40 Square inches

Step-by-step explanation:

You do 2 x 4 then divide by 2. after that you multiply by 4.  Then you add the square which is 2 x 2

if f(x)= 5x -7, what is f(3)?

Answers

Answer:

8

Step-by-step explanation:

f(x) = 5(3) - 7

f(x) = 15 - 7

f(x) = 8

a) BCD is a straight line.
Triangle ABC is equilateral.
CE = DE
E
Not drawn
accurately
А
320
B
С
Work out the size of angle x.
(4)​

Answers

Answer:

x = 46°

Step-by-step explanation:

Since Δ ABC is equilateral then interior angles = 60°

Since CE = DE then Δ CDE is isosceles and the base angles are congruent, so

∠ ECD = [tex]\frac{180-32}{2}[/tex] = [tex]\frac{148}{2}[/tex] = 74°

BCD is a straight line, then the 3 angles on it sum to 180°, that is

60° + 74° + x = 180°

134° + x = 180° ( subtract 134° from both sides )

x = 46°

The volume of this cylinder is 7500m
Find the length of the radius, t.
Give your answer rounded to 3 SF

Answers

Answer:

Clarifier Calculations

V = π r2h. Volume Calculations. Round ( Cylinder) Tanks. Example 1. Find the Volume in cubic feet of a tank having a radius of 10 feet and ...

Missing: 7500m ‎Give ‎SF

Please help me graph!

What points do a graph 2x-3y=12 at

Answers

2x-3y=12
-2x. -2x
-3y = - 2x + 12
/-3. /-3. /-3
Y = 2/3x + -4
(0,-4), ( -3,-2)

What value of x is the solution to the equation 2x+4=−2

Answers

Answer:

I got -3 as the answer .........

4. The figures below are similar. What is
the length of x?
15 in
6 in
4 in
10 in
8 in
X
help pls

Answers

Answer:

X = 20in

Step-by-step explanation:

6in × 2.5 = 15in

4in × 2.5 = 10in

8in × 2.5 = 20in

I hope this helps! I'm sorry if wrong.

The length of x in the provided figures, where two figures are similar, is equal to 20 inches.

What is scale factor?

Scale factor is the factor which is used to enlarge or smaller the original figure.

Scale factor is the ratio of representation measurement of the figure to the original figures.

The given figure of arrow are similar. The bottom length of small figure is 4 in while the bottom length of big figure is 10 in. Thus, the scale factor is,

[tex]k=\dfrac{4}{10}[/tex]

The side length of small figure is 6 in while the side length of big figure is x in. Thus, the scale factor is,

[tex]k=\dfrac{8}{x}[/tex]

Both the factor are of same condition. Thus,

[tex]\dfrac{8}{x}=\dfrac{4}{10}\\\dfrac{8\times10}{4}=x\\x=20\rm\; in[/tex]

The length of x in the provided figures, where two figures are similar, is equal to 20 inches.

Learn more about the scale factor here;

https://brainly.com/question/10253650

#SPJ2

If $20.18 Pesos is equal to $1 US dollar, tell me how much money Mr. P would have left if he had $100 US Dollars but spent $918 Pesos in groceries this past Christmas in Mexico with his family.

Answers

Answer:

Conversion rates US Dollar / Mexican Peso

10 USD 209.37500 MXN

20 USD 418.75000 MXN

50 USD 1046.87500 MXN

100 USD 2093.75000 MXN

Determine whether the set of data shown below display exponential behavior. Write yes or no explain why or why not?

Answers

Answer:

I don't know what is your name is your

Which of the following is equal to 7?
A. /81
B. /49
C. /64
D. /36

Answers

I’m guessing you tried to make the square root symbol for the answer choices. If not, LMK in the comments.

If so, your answer is B. The square root of 49 is 7. 7x7 = 49
Your answer should be B you just multiply

Can someone help? I'll give brainliest if the answer is correct and and if an explanation of how to do this is provided.

Answers

Answer:

[tex] m\angle E[/tex] = 77°

Step-by-step explanation:

I triangle ACE, BD || AC.... (given)

[tex] m\angle B =m\angle A[/tex]

(corresponding angles)

9x - 5 = 8x + 4

9x - 8x = 5 + 4

x = 9

3x° = 9*3° = 27°

(9x - 5)° = (9*9 - 5)° = (81 - 5)° = 76°

[tex] m\angle E[/tex] = 180° - (27° + 76°)

(By interior angle sum theorem of a triangle)

[tex] m\angle E[/tex] = 180° - 103°

[tex] m\angle E[/tex] = 77°

what is the answer to this
[tex]72 \div 9[/tex]

Answers

the answer to 72\9 = 8 (:
72/9 is 8 if u do 45/9 which is 5 just keep going up nine till u go to 72

how is your day?:) mine sucks because i’m doing hw on spring break

Answers

Answer:

im good :)

Step-by-step explanation:

its so annoying how teachers give hw on breakss

Sheryl has a recipe for pasta with
vegetables. The recipe calls for
130 grams of vegetables and twice as
much pasta as vegetables. What is the
total mass in grams of the recipe?

Answers

Answer:

The Anwser Is 390 Because Add It All Up And You Got The Anwser

Answer:

390

Step-by-step explanation:

130 and then twice as much pasta, 130+130=260

Then add the vegetables: 130+260=390

390 is the total mass in grams

Can you help me with these two? Sorry!

Answers

Answer:

3. second

4. first

Step-by-step explanation:

3) B so it will be the second one

4) A it’s the first one




Hope this helps :)

Find the area. The figure is not drawn to scale. Hint: Find the sum of the areas of 2 triangles and 2 parallelograms.
Select one:
a. 188 in.2
b. 278 in.2
c. 322 in.2
d. none of these

Answers

Answer:

d. None of the above

Step-by-step explanation:

✔️Area of triangle 1 = ½*b*h

b = 11 in.

h = 3 in.

Area of triangle 1 = ½*11*3 = 16.5 in.²

✔️Area of triangle 2 = ½*b*h

b = 8

h = 9

Area of triangle 2 = ½*8*9 = 36 in²

✔️Area of parallelogram 1 = b*h

b = 11 in.

h = 9 in.

Area of parallelogram 1 = 11*9 = 99 in.²

✔️Area of parallelogram 1 = b*h

b = 9 in.

h = 11 in.

Area of parallelogram 2 = 9*11 = 99 in.²

✅Total area = 16.5 + 36 + 99 + 99 = 250.5 in.²

Where is the zeros of the function?


Are both zeros meaningful and why?

At what height is the ball thrown?

Answers

Answer:

The zeros of the function are (-0.5,0) and (1,0), or at -0.5 and 1.

The zeros are important because that is when the ball is at the ground.

The ball is thrown at (0,8), or at 8 units up

Step-by-step explanation:

need help to Find the apothem.​

Answers

The apothem of a polygon, in this case a, can be found using the formula

Apothem=circumradius*cos(pi/sides)

Note in this problem, its a hexagon which makes the circumradius = to the side length since a regular hexagon can be split into 6 equilateral triangles.

a=47*cos(pi/6)=40.7 (approximation)

Hope it helped!

Other Questions
I need help and a explanation What is the chemical equation?Electrolysis (splitting) of water. H20--> which decimal is equivalent to 2/3? A reality of living in a risk society is that:____________ a. social justice is, in fact, dispensed equally across all citizen groups, irrespective of ethnicity, income level, or other factors. b. incomes are regulated by government policy to ensure equality across professions and worker class. c. laws cannot be enacted to regulate corporations' adherence to accounting rules. d. currency exchange rates are set by the Caux Principles. e. the creation and distribution of wealth generate by-products that can cause injury, loss, or danger to people and the environment. Brainiest to who answers first Write the equation of the line that passes through the points (2, -6) and (8,-2).Put your answer in fully reduced point-slope form, unless it is a vertical or horizontalline. What is the unit of measurement for potential electric energy existing between two points on a circuit?A. JouleB. VoltageC. Current UMMM i need help can u plz help? Why would geothermal energy NOT be a possible energy source for many regions of the country?A. Geothermal energy depends upon a nonrenewable resource.B. Geothermal energy is only found in Arctic regions.C. Geothermal energy is not always found in an area that is easily accessible.D. Geothermal energy can only be used to grow tropical fruits. A college student makes $2.50 per hour serving tables at a restaurant. The college student also receives an average of $6.00 in tips for every table served.If the college student serves 3 tables each hour, which function, f(x), represents the total amount the college student makes for serving tables for x hours? In what do electromagnetic waves cause disturbances when they transferenergy?A. Electric fields onlyO B. Both electric and magnetic fieldsC. Neither electric nor magnetic fieldsO D. Magnetic fields only ARTICULATE THE MAJOR APPLICATIONS OF DEMAND AND SUPPLY TOOLS IN DIFFERENT TYPES OF MARKETS . REFERENCE SHOULD BE MADE TO ANY EMERGING ECONOMY OF YOUR CHOICE. A chemist working as a safety inspector finds an unmarked bottle in a lab cabinet. A note on the door of the cabinet says the cabinet is used to store bottles of carbon tetrachloride, diethylamine, methyl acetate, ethanolamine, and dimethyl sulfoxide. The chemist plans to try to identify the unknown liquid by measuring the density and comparing to known densities. First, from his collection of Material Safety Data Sheets (MSDS), the chemist finds the following information:Liquid Density Tetrahydrofuran 0.89gcm^3 Carbon tetrachloride 1.6gcm^3 Pentane 0.63gcm^3 Dimethyl sulfoxide 1.1gcm^3Acetone 0.79gcm^3. Next, the chemist measures the volume of the unknown liquid as 0.852L and the mass of the unknown liquid as 938.g . Calculate the density of the liquid. The interesting fact about Adolf Hitler's idea ofa German Master Race, was the fact thatwhich of the following was true?A. The description of the Master Race did not resemble nor includeHitler.B. The description of the Master Race resembled Hitler's father.C. The description of the Master Race included Jews.D. The description of the Master Race did not exist in Germany. PLESEEEEEEEE SOMEONE HELP ME I DIDNT STUDY FOR THIS QUIZ MUST HAVE ANSWERED MY PREVIOUS QUESTION!!! Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference? Meiosis is part of the cell cycle. Albert announces to his mother, he is hungry and asks what is there to eat? She respond go look in the refrigerator True or false A nucleotide is make of a sugar, a phosphate, and a base. Successful Dictator Brainstorm What makes a Dictator Successful? Complete the following chart to help you answer the Essential Question: Was FDR a dictator the man Americans needed at the time? Successful Dictator Unsuccessful Dictator Personal Freedoms Crime/Disorder National Prestige Economy Foreign Policy ***Getting stuck? Click below on each title to find out some helpful information!*** Dictator Information Videos: WW2 - OverSimplified (Part 1) (A Funny Video Explaining The Rise of Dictators) How did Hitler rise to power? - Alex Gendler and Anthony Hazard What is a Dictatorship - More Grades 6-12 Social Studies on Harmony Square its due in 5 minutes help